satoruazure28 satoruazure28
  • 01-10-2021
  • Mathematics
contestada

(x-27)^2-(x-3)^2=3x-25

Respuesta :

ghaithgh
ghaithgh ghaithgh
  • 01-10-2021

Answer:

[tex] {(x - 27)}^{2} - {(x - 3)}^{2} = 3x - 25 \\ \\ (x - 27)(x - 27) - (x - 3)(x - 3) = 3x - 25 \\ \\ ( {x}^{2} - 54x + 729) - ( {x}^{2} - 6x + 9) = 3x - 25 \\ \\ ( {x}^{2} - 54x + 729) + ( - {x}^{2} + 6x - 9) = 3x - 25 \\ \\ - 48x + 720 = 3x - 25 \\ \\ 3x + 48x = 720 + 25 \\ \\ 51x = 745 \\ \\ x = \frac{745}{51} \\ \\ x = 14.6[/tex]

I hope I helped you^_^

Answer Link

Otras preguntas

Write a system of equations with a solution (4,–3)
What is biogeography and what does it provide?
How did scientists discover the common structure of cells?
the cafeteria has 45 square  tables that can be pushed together to form one long table for the lacrosse team's banquet. Each square table can seat one person on
Which of the kingdoms has the smallest number of known species
An airplane travels 3,260 kilometers in 4 hours. What is the airplane’s average speed?
By the mid-1700s, the largest city in the colonies was (A) New York (B) Boston (C) Philadelphia (D) Charleston (E) Wilmington, Delaware
If 8 men can chop down 28 trees in one day, how many trees can 20 men chop down in one day?
How did scientists discover the common structure of cells?
What is the mean of 87, 93, 86, 90, and 84?